Answer:
The answer can be interpreted by the distance moved by each gallon :))
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
If f(x) = 3х2 +1 and g(x) = 1-х, what is the value of (f-g)(2)?
12
14
оооо
36
38
Answer:
( f - g)(2) = 14Step-by-step explanation:
f(x) = 3x² + 1
g(x) = 1 - x
To find (f - g)(2) first find (f - g)(x)
To find (f - g)(x) subtract g(x) from f(x)
That's
(f - g)(x) = 3x² + 1 - ( 1 - x)
(f - g)(x) = 3x² + 1 - 1 + x
(f - g)(x) = 3x² + x
To find ( f - g)(2) substitute 2 into (f - g(x)
That's
( f - g)(2) = 3(2)² + 2
( f - g)(2) = 3(4) + 2
( f - g)(2) = 12 + 2
We have the final answer as
( f - g)(2) = 14Hope this helps you
A timeline. 27 B C E to 180 C E PAX ROMANA. 44 B C E The Roman Empire was founded. 80 C E The Colosseum was built. 121 C E Hadrian's Wall was built in England to keep out enemies. 306 C E Constantine became emperor.
How many years passed between the building of the Colosseum and the building of Hadrian’s Wall?
201
121
41
36
Answer:
the answer is 41
Step-by-step explanation:
C. 41
Step-by-step explanation:
solve for x 3x - 4 = 3x - 10
Answer:
no solution
Step-by-step explanation:
3x - 4 = 3x - 10
Subtract 3x from each side
3x-3x - 4 = 3x-3x - 10
-4 = -10
This is never true so there is no solution
Answer:
Step-by-step explanation:
I think you might have copied down the problem incorrectly.
If you try and solve this problem by moving the variables onto one side and the constants onto the other, you get:
3x-4=3x-10
+10 +10
3x+6=3x
-3x -3x
6=0 (which is FALSE)
Hope this helps!
P.S. Please give me brainliest. Thanks :)
Convert 1.2 radians to an
angle in degrees
Answer:
Below
Step-by-step explanation:
Let x be the measure in degrees
● x/180 = 1.2/Pi
Cross multiply the values
● x*Pi = 180×1.2
● x = 216/Pi
Take Pi = 3.14
● x = 68.78 wich is approximatively 69°
WILL GIVE BRAINLIEST!!!
Answer:
2 x^2 sqrt(13)
Step-by-step explanation:
sqrt( 52x^4)
sqrt( 4*13 * x^2 * x^2)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt( 4)*sqrt(13) *sqrt( x^2) *sqrt( x^2)
2 sqrt(13) x*x
2 x^2 sqrt(13)
52|2
26|2
13|13
1
[tex]\sqrt{52x^4}=\sqrt{2^2\cdot13\cdot(x^2)^2}=2x^2\sqrt{13}[/tex]
To bake 12 cookies, I use 2 quarts of milk. There are 2 pints in a quart. How many pints of milk do I need to bake 3 cookies?
Answer:
1 pint
Step-by-step explanation:
You need 2 * 2 = 4 pints to make 12 cookies. Since 3 cookies is 1/4 of 12 cookies, you would need 1/4 * 4 = 1 pint of milk to make 3 cookies.
Answer:
1 pint
Step-by-step explanation:
12c=4p
divide both sides by 4
3 cookies needs 1 pint!!!!
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
How do I solve 3(x+1)=5(x−2)+7?
Answer:
x = 3Step-by-step explanation:
[tex]3\left(x+1\right)=5\left(x-2\right)+7\\Expand\\3x+3 =5x -10+7\\Collect \:like\: terms\\3x-5x = -10+7-3\\-2x = -6\\Divide \:both\:sides\:of\:the\:equation\:by\:-2\\\frac{-2x}{-2} = \frac{-6}{-2}\\ \\x = 3[/tex]
Answer:
x = 3
Step-by-step explanation:
3(x+1)=5(x−2)+7
Use the distributive property to multiply 3 by x+1.
3x+3=5(x−2)+7
Use the distributive property to multiply 5 by x−2.
3x+3=5x−10+7
Add −10 and 7 to get −3.
3x+3=5x−3
Subtract 5x from both sides.
3x+3−5x=−3
Combine 3x and −5x to get −2x
−2x+3=−3
Subtract 3 from both sides.
−2x=−3−3
Subtract 3 from −3 to get −6.
−2x=−6
Divide both sides by −2.
x = -6/2
Divide −6 by −2
x = 3
Una profesora compra 28 manzanas para compartir con sus estudiantes; al día siguiente revisa la cesta con las frutas y ve que se le han dañado 2/7 del total de manzanas que había comprado. Para reponer las frutas dañadas ella debe comprar
Answer:
La profesora debe comprar 8 manzanas para reponer la cesta de frutas.
Step-by-step explanation:
La profesora debe reponer la cesta de frutas por la cantidad de manzanas que se encuentran dañadas. La cantidad de manzanas dañadas es igual a las dos séptimas partes del total de manzanas. Es decir:
[tex]x = \frac{2}{7} \times (28\,manzanas)[/tex]
[tex]x = \frac{56\,manzanas}{7}[/tex]
[tex]x = 8\,manzanas[/tex]
La profesora debe comprar 8 manzanas para reponer la cesta de frutas.
Answer it answer it answer it.
Answer:
Option C. P = 3/q
Step-by-step explanation:
To know the the correct answer to the question, do the following:
Let us assume a certain number for P say 2 and 3, and then, find the corresponding value for q in each case to see which will give a decreased value for q.
Option A
When P = 2, q =.?
P = 3q
2 = 3q
Divide both side by 3
q = 2/3
When P = 3, q =.?
P = 3q
3 = 3q
Divide both side 3
q = 3/3
q = 1
From the above illustration, we can see that as P increase, q also increase.
Option B
When P = 2, q =.?
P – 3 = q
2 – 3 = q
q = – 1
When P = 3, q =.?
P – 3 = q
3 – 3 = q
q = 0
From the above illustration, we can see that as P increase, q also increase.
Option C
When P = 2, q =.?
P = 3/q
2 = 3/q
Cross multiply
2 × q = 3
Divide both side by 2
q = 3/2
q = 1.5
When P = 3, q =.?
P = 3/q
3 = 3/q
Cross multiply
3 × q = 3
Divide both side by 3
q = 3/3
q = 1
From the above illustration, we can see that as P increase, q decreases.
Option D.
When P = 2, q =.?
1/p = 3/q
1/2 = 3/q
Cross multiply
1 × q = 2 × 3
q = 6
When P = 3, q =.?
1/p = 3/q
1/3 = 3/q
Cross multiply
1 × q = 3 × 3
q = 9
From the above illustration, we can see that as P increase, q also increase.
Now, haven done the above, only option C gives a decreased value for q as the value of P increases.
c
this before
Step-by-step explanation:
complete the square to solve
f(x)=x^2+6x-7
28.Neethi had 8
1
4
cups of flour and 3 liters of juice with her. She decided to make cupcakes and
distribute juice for her birthday.
a) A cupcake requires 3
4
cup of flour. How many cupcakes can she make?
Answer:
2 1/3 cupcakes
Step-by-step explanation:
A cupcake can make 3 four cups of flour
In 8 fourteen cups of flour, require (14 X 4)/(3 X 8) of cupcakes
= 56/24 = 2 1/3 cupcakes
The drama club is selling tickets to its play. An adult ticket costs $15 and a student ticket costs $11. The auditorium will seat 300 ticket-holders. The drama club wants to collect at least $3630 from ticket sales.
Answer:
83 adult tickets and 217 student tickets.
Step-by-step explanation:
Let number of adult tickets sold = [tex]x[/tex]
Given that total number of tickets = 300
So, number of student tickets = 300 - [tex]x[/tex]
Cost of adult ticket = $15
Cost of student ticket = $11
Total collection from adult tickets = $[tex]15x[/tex]
Total collection from student tickets = [tex](300-x)\times 11 = 3300-11x[/tex]
Given that overall collection = $3630
[tex]15x+(3300-11x) = 3630\\\Rightarrow 15x-11x=3630-3300\\\Rightarrow 4x = 330\\\Rightarrow x = 82.5[/tex]
So, for atleast $3630 collection, there should be 83 adult tickets and (300-83 = 217 student tickets.
Now , collection = $3632
In right triangle ΔABC (m∠C = 90°), point P is the intersection of the angle bisectors of the acute angles. The distance from P to the hypotenuse is equal to 4 in. Find the perimeter of △ABC if AB = 12 in.
Answer:
the perimeter of ΔABC is 32in
Step-by-step explanation:
We know that intersection point of the angle bisectors refers to the incenter of the triangle,.
Given tmthe radius of 4inch for the centre of the incircle.
One of the properties of the incircle is that the distances (d) from vertex C to the nearest touchpoints are equal and have the value
In an incircle , the distances (d) along vertex C and touchpoints have equal value and can be expressed as
d = 1/2(a +b -c)
And a, b, c represent lengths of the sides
We were given the hypotenuse (c) as 12 in, with the radius of 4inch for the
distance from the right-angle vertex C to the incircle touchpoints .
We can determine the sum a+b as
4 = (1/2)(a+b -12) .
4/(1/2)= (a+b -12)
8= (a+b -12)
20=a+b
Which is the addition of length of the two legs of the triangle.
We can determine the perimeter which is the addition of the leg lengths as well as the hypotenuse length.
perimeter = 20 in + 12 in = 32 in
Therefore, the perimeter of ΔABC is 32in
Manuel made at least one error as he found the value of this expression. Identify the step in which Manuel made his first error. After identifying the step with the first error, explain the corrected steps and find the final answer.
Answer:
Manuel made his first mistake in step 2 leading to the continuous mistakes
Final answer=185
Step-by-step explanation:
Manuel made at least one error as she found the value of this expression. 2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50) Step 1: 2(-20) + 3(-25) + 5(20) + 4(50) Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50) Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405 Identify the step in which Chris made her first error. After identifying the step with the first error, write the corrected steps and find the final answer.
2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50)
Step 1: 2(-20) + 3(-25) + 5(20) + 4(50)
Step 2: -40 - 75 + 100 +
200
Step 3: -115 + 300
Step 4: 185
Manuel made his first error in step 2 by combining two different terms into one as he has done
(3 + 2)(-20 + -25) and also (5 + 4)(20 + 50)
Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50)
Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405
He should have evaluated the terms separately as I have done above, giving us 185 as the final answer in contrast to his 405 final answer.
Simplify 18 - 2[x + (x - 5)].
A) 13 - x
B) 13 - 4x
C) 8 - 4x
D) 28 - 4x
Answer:
Well the correct answer is −4x+28... But I don't
see that as one of your options. :/
Simplify:
18−2(x+x−5)
Distribute:
=18+(−2)(x)+(−2)(x)+(−2)(−5)
=18+−2x+−2x+10
Combine Like Terms:
=18+−2x+−2x+10
=(−2x+−2x)+(18+10)
=−4x+28
Answer:
−4x+28
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{28 - 4x}}}}}[/tex]Option D is the correct option.
Step-by-step explanation:
18 - 2 [ x + ( x - 5 ) ]
Remove the unnecessary Parentheses
⇒18 - 2 [ x + x - 5 ]
Collect like terms
⇒18 - 2 [ 2x - 5 ]
Distribute 2 through the parentheses
⇒18 - 4x + 10
Add the numbers
⇒28 - 4x
Hope I helped!
Best regards!!
Given that v = u + 10t, find y when
u= 6 and t = 9.
Answer:
hey here is the answer
Step-by-step explanation:
Subject of the formula:
It is a variable which is expressed in terms of other variables involved in the formula.
Formulas are written so that a single variable, the subject of the formula is on the L.H.S. of the equation. Everything else goes on the right side of the equation. We evaluate the formula by substituting for the literal numbers on the right hand side.
For example:
In the formula v = u + at, v is the subject.
To find v in the example, we substitute the values u, a and t in the R.H.S. of the equation.
Changing the subject of the formula:
To change the subject of a formula, begin with the variable to become the new subject, and apply inverse operation as for solving equations in the opposite order to the order conventions.
1. To make ‘u’ the subject of the formula in v = u + at,
[subtract at from both sides]
v - at = u
or, u = v - at
2. To make ‘t’ the subject of the formula, v = u + at,
[subtract u from both sides]
v - u = at
or, (v - u )/a = t
or, t = (v - u)/a
Change the Subject of a Formula
The value of the equation is v = 96 when u = 6 and t = 9
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
v = u + 10t be equation (1)
when u = 6 and t = 9
Substitute the value of u and t in the equation , we get
v = 6 + 10 ( 9 )
On simplifying the equation , we get
v = 6 + 90
v = 96
Therefore , the value of v is 96
Hence , the equation is v = 96
To learn more about equations click :
https://brainly.com/question/19297665
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G(x)= -\dfrac{x^2}{4} + 7g(x)=− 4 x 2 +7g, left parenthesis, x, right parenthesis, equals, minus, start fraction, x, squared, divided by, 4, end fraction, plus, 7 What is the average rate of change of ggg over the interval [-2,4][−2,4]open bracket, minus, 2, comma, 4, close bracket?
Answer:
-1/2Step-by-step explanation:
Given the function [tex]G(x)= -\dfrac{x^2}{4} + 7[/tex], the average rate of change of g(x) over the interval [-2,4], is expressed as shown below;
Rate of change of the function is expressed as g(b)-g(a)/b-a
where a - -2 and b = 4
[tex]G(4)= -\dfrac{4^2}{4} + 7\\G(4)= -\dfrac{16}{4} + 7\\G(4)= -4 + 7\\G(4) = 3\\[/tex]
[tex]G(-2) = -\dfrac{(-2)^2}{4} + 7\\G(-2)= -\dfrac{4}{4} + 7\\G(-2)= -1 + 7\\G(-2)= 6[/tex]
average rate of change of g(x) over the interval [-2,4] will be;
[tex]g'(x) = \frac{g(4)-g(-2)}{4-(-2)}\\ g'(x) = \frac{3-6}{6}\\\\g'(x) = -3/6\\g'(x) = -1/2[/tex]
What is 25x + 67y if x = 23 and y = 36. Give explanation please!
Answer:
2987.
Step-by-step explanation:
25(23) + 67(36) = 575 + 2412 = 2987.
Hi there! Hopefully this helps!
------------------------------------------------------------------------------------------------------------
Answer: 2987
First we need to rewrite the equation. Since x = 23 and y = 36 the equation should look like this for easier steps:
25(23) + 67(36) = ?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now since there numbers by other numbers in parentheses, we need to multiply them.
25 x 23 = 575.
67 x 36 = 2412.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now that the equation is in its final form, we write it like this for the answer:
575 + 2412 =
2987.multiply 2x^2-4x 6c^2-5x
Answer:
a
Step-by-step explanation:
2x^2-4x 6x^2-5x
2x^2 times 6x^2= 12x^4
2x^2 times -5x= -10x^3
-4x times 6x^2= -24x^3
-4x times -5x= 20x^2
12x^4-10x^3-24x^3+20x^2
12x^4-34x^3+20x^2
(Also Brainliest if this helps pls)
jim buys a calculator that is marked 30% off. If he paid $35, what was the original price?
Answer:
x = 50
Step-by-step explanation:
Let x be the original price.
He got 30% off
The discount is .30x
Subtract this from the original price to get the price he paid
x - .30x = price he paid
.70x = price he paid
.70x = 35
Divide each side by .7
.70x/.7 = 35/.7
x=50
Jon wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor
is
oft by 3 1 ft. Find the area the carpet needs to cover. •!
12
4
5
tiled floor
Entar
Answer:
321/8 ft^2
Step-by-step explanation:
The whole area is 49/4 × 5 = 245/4 ft^2
The area of tiled floor is 13/2 × 13/4 = 169/8
245/4 - 169/8 we need to equalise the bottom of fraction to subtract so
2/2 × 245/4 = 490/8
490/8 - 169/8 = 321/8 ft^2
A
Find the value of x. Your answer must be exact.
30
9
Answer:
x = 9√3Step-by-step explanation:
Since the figure above is a right angled triangle we can use trigonometric ratios to find x
To find x we use tan
tan∅ = opposite/ adjacent
From the question
The opposite is 9
The adjacent is x
Substitute the values into the above formula
That's
[tex] \tan(30) = \frac{9}{x} [/tex]
[tex]x \tan(30) = 9[/tex]
Divide both sides by tan 30
[tex]x = \frac{9}{ \tan(30) } [/tex]
We have the final answer as
x = 9√3Hope this helps you
Angles L and M are supplementary. What is the sum of
their measures?
The sum of the measures of angles L and M is
180 degree
Step-by-step explanation:
supplementary means anhke havinv sum of 180 degree
so sum to two supplemrntary angles is 180 drgree
Supplementary angles always add to 180.
One way I think of it is "supplementary angles form a straight angle", and both the words "supplementary" and "straight" start with the letter "S".
In contrast, complementary angles form a corner. Both "complementary" and "corner" start with "co". By "corner", I mean a 90 degree corner.
Both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop. Each takes out a piece and eats it. What are the possible pairs of candies eaten? A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon B. Cherry-lemon, lemon-lollipop, lollipop-cherry, lollipop-lollipop, lemon-lemon C. Lemon-cherry, lemon-cherry, lemon-cherry, lemon-lollipop, lemon-lollipop, lemon-lollipop, cherry-lollipop, cherry-lollipop, cherry-lollipop D. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-lollipop, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lemon, lollipop-lemon
Answer:
A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon
Step-by-step explanation:
From the above question, we are told that both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop
There are two events here's
2 people = Fred and Ed
3 bags of different sweets = Lemon Cherry and Lollipop
The number of ways that both of them can eat this singly is calculated using combination formula
C(n, r) = nCr = n!/r! (n - r)!
n = 3, r = 2 = 3C2 = 3!/2! (3 - 2)!
= 3 × 2 × 1/2 × 1
= 3
We were asked to find the possible pairs
Hence = 3² = 9
There are 9 possible pairs through which Fred and Ed can eat their sweets and they are:
1) Lemon - Lemon
2) Cherry - Cherry
3) Lollipop - Lollipop
4) Lemon - Cherry
5) Cherry - Lemon
6) Lollipop - Cherry
7) Cherry - Lollipop
8) Lollipop - Lemon
9) Lemon - Lollipop.
Therefore, Option A is the correct option
Answer:
LEMONS BURN YOUR HOUSE DOWN JK its this A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon
Step-by-step explanation:
From the above question, we are told that both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop
There are two events here's
2 people = Fred and Ed
3 bags of different sweets = Lemon Cherry and Lollipop
The number of ways that both of them can eat this singly is calculated using combination formula
C(n, r) = nCr = n!/r! (n - r)!
n = 3, r = 2 = 3C2 = 3!/2! (3 - 2)!
= 3 × 2 × 1/2 × 1
= 3
We were asked to find the possible pairs
Hence = 3² = 9
There are 9 possible pairs through which Fred and Ed can eat their sweets and they are:
1) Lemon - Lemon
2) Cherry - Cherry
3) Lollipop - Lollipop
4) Lemon - Cherry
5) Cherry - Lemon
6) Lollipop - Cherry
7) Cherry - Lollipop
8) Lollipop - Lemon
9) Lemon - Lollipop.
Therefore, Option A is the correct option
subtract c from 7, then divide b by the result
Answer:
[tex]\frac{7-c}{b}[/tex]
Answer:
[tex]\frac{7 -c}{b}[/tex]
Step-by-step explanation:
Subtract c from 7 : 7 - c
Then the result is divide by b : [tex]\frac{7 -c}{b}[/tex]
Use the figure below to find the measure of angle x.
Answer:
70 degrees
Step-by-step explanation: this is an equilateral triangle. All of its angles are the same.
April typed a 5 page report in 50 mintues. Each page had 500 words at what rate is April typing
Answer:
Amy types at a rate of 50 words per minute
Step-by-step explanation:
In this question, we are interested in calculating the rate at which April is typing.
From the question, we can deduce that she typed a 5 page report, with each page having a total of 500 words.
Now, if each page has 500 words, the total number of words in all of the pages will be 5 * 500 = 2,500 words
Now, from here, we can see that 2,500 words were typed in 50 minutes.
The number of words per minute will be ;
Total number of words/Time taken = 2500 words/50 minutes
That will give a value of 50 words per minute
Combine like terms to simplify the expression: -5.55-8.55c+4.35c
Answer:
-5.55 - 4.2c
Step-by-step explanation:
-5.55 - 8.55c + 4.35c
'-8.55c' and '4.35c' are like terms because of them containing the same variable of 'c'.
Combine:
-5.55 - 8.55c + 4.35c
-8.55 + 4.35 = -4.2-5.55 - 4.2c
Hope this helps.
GIVING BRAINLIEST TO THE FIRST PERSON TO ANSWER!
Three stores have the same tablet computer on sale. The regular price of the tablet is $150. Store A is offering the tablet on sale at 15% off the regular price. Store B is offering a $25 coupon to be deducted from the regular price. Store C is offering a rebate of $20.00 to purchasers. Store D has the tablet on sale for $120.00. Which store is offering the tablet at the lowest cost?
A. Store A
B. Store B
C. Store C
D. Store D
Show ALL work please! <3
Answer: Store D
Step-by-step explanation:
Store A - 15% off:
$150 times 15/100 = 22.5
$150 - $22.50 = $127.50 so the price at store A is $127.50
Store B - $25 coupon
$150 - $25 = $125 so the price at store B is $125
Store C - $20 rebate
$150 - $20 = $130 so the price at store B is $130
Store D - $120
$120 is the lowest so the answer is Store D
Answer:
[tex]\Large \boxed{\mathrm{Store \ D}}[/tex]
Step-by-step explanation:
Store A is offering the tablet on sale at 15% off the regular price.
150 × (1 - 15%) = 127.5
Store B is offering a $25 coupon to be deducted from the regular price.
150 - 25 = 125
Store C is offering a rebate of $20.00 to purchasers.
150 - 20 = 130
Store D has the tablet on sale for $120.00.
Store D is offering the tablet at the lowest cost.
A.) 170
B.) 300
C.)280
D.)155
Please help me
Answer:
Step-by-step explanation:
The formula for this is
∠G = 1/2(arcEH - arcHF)
We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF
Filling in the formula with what we have:
[tex]5x-10=\frac{1}{2}(195-(8x+17))[/tex]
which simplifies down a bit to
[tex]5x-10=\frac{1}{2}(195-8x-17)[/tex] which simplifies down a bit more to
[tex]5x-10=\frac{1}{2}(178-8x)[/tex] Multiply both sides by 2 to get rid of the fraction and get:
2(5x - 10) = 178 - 8x which of course simplifies to
10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:
18x = 198 so
x = 11. Now we can find the measure of arcHF:
arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.
arcEH + arcHF = arcEHF so
195 + 105 = arcEHF so
arcEHF = 300°
